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The average per capita daily water consumption in a village in Bangladesh is about 83 liters...

The average per capita daily water consumption in a village in Bangladesh is about 83 liters per person and the standard deviation is about 11.9 liters per person. Randomly samples of size 50 are drawn from this population and the mean of each are determined.

A)Find the mean and standard deviation of the sampling distribution of sample means.

(b) What is the probability that the mean per capita daily water consumption for a given sample is more than 85 liters per person?

(c) What is the probability that the mean per capita daily water consumption for a given sample is between 80 and 82 liters per person?

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